The study of the heat-trace expansion in noncommutative field theory has shown the existence of Moyal nonlocal Seeley-DeWitt coefficients which are related to the UV/IR mixing and manifest, in some cases, the non-renormalizability of the theory. We show that these models can be studied in a worldline approach implemented in phase space and arrive to a master formula for the $n$-point contribution to the heat-trace expansion. This formulation could be useful in understanding some open problems in this area, as the heat-trace expansion for the noncommutative torus or the introduction of renormalizing terms in the action, as well as for generalizations to other nonlocal operators.

Worldline approach to noncommutative field theory / Bonezzi, R; Corradini, Olindo; Viñas, S. A. Franchino; Pisani, P. A. G.. - In: JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL. - ISSN 1751-8113. - 45 (2012) 405401:(2012), pp. 1-15. [10.1088/1751-8113/45/40/405401]

Worldline approach to noncommutative field theory

CORRADINI, Olindo;
2012

Abstract

The study of the heat-trace expansion in noncommutative field theory has shown the existence of Moyal nonlocal Seeley-DeWitt coefficients which are related to the UV/IR mixing and manifest, in some cases, the non-renormalizability of the theory. We show that these models can be studied in a worldline approach implemented in phase space and arrive to a master formula for the $n$-point contribution to the heat-trace expansion. This formulation could be useful in understanding some open problems in this area, as the heat-trace expansion for the noncommutative torus or the introduction of renormalizing terms in the action, as well as for generalizations to other nonlocal operators.
2012
45 (2012) 405401
1
15
Worldline approach to noncommutative field theory / Bonezzi, R; Corradini, Olindo; Viñas, S. A. Franchino; Pisani, P. A. G.. - In: JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL. - ISSN 1751-8113. - 45 (2012) 405401:(2012), pp. 1-15. [10.1088/1751-8113/45/40/405401]
Bonezzi, R; Corradini, Olindo; Viñas, S. A. Franchino; Pisani, P. A. G.
File in questo prodotto:
File Dimensione Formato  
JPHYSA45.pdf

Accesso riservato

Descrizione: Articolo principale
Tipologia: Versione pubblicata dall'editore
Dimensione 205.01 kB
Formato Adobe PDF
205.01 kB Adobe PDF   Visualizza/Apri   Richiedi una copia
Pubblicazioni consigliate

Licenza Creative Commons
I metadati presenti in IRIS UNIMORE sono rilasciati con licenza Creative Commons CC0 1.0 Universal, mentre i file delle pubblicazioni sono rilasciati con licenza Attribuzione 4.0 Internazionale (CC BY 4.0), salvo diversa indicazione.
In caso di violazione di copyright, contattare Supporto Iris

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/1073752
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 19
  • ???jsp.display-item.citation.isi??? 18
social impact